Q: What are the factor combinations of the number 60,490,871?

 A:
Positive:   1 x 604908717 x 864155359 x 1025269149 x 405979413 x 146467983 x 615371043 x 579976881 x 8791
Negative: -1 x -60490871-7 x -8641553-59 x -1025269-149 x -405979-413 x -146467-983 x -61537-1043 x -57997-6881 x -8791


How do I find the factor combinations of the number 60,490,871?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 60,490,871, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 60,490,871
-1 -60,490,871

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 60,490,871.

Example:
1 x 60,490,871 = 60,490,871
and
-1 x -60,490,871 = 60,490,871
Notice both answers equal 60,490,871

With that explanation out of the way, let's continue. Next, we take the number 60,490,871 and divide it by 2:

60,490,871 ÷ 2 = 30,245,435.5

If the quotient is a whole number, then 2 and 30,245,435.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 60,490,871
-1 -60,490,871

Now, we try dividing 60,490,871 by 3:

60,490,871 ÷ 3 = 20,163,623.6667

If the quotient is a whole number, then 3 and 20,163,623.6667 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 60,490,871
-1 -60,490,871

Let's try dividing by 4:

60,490,871 ÷ 4 = 15,122,717.75

If the quotient is a whole number, then 4 and 15,122,717.75 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 60,490,871
-1 60,490,871
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

17591494139831,0436,8818,79157,99761,537146,467405,9791,025,2698,641,55360,490,871
-1-7-59-149-413-983-1,043-6,881-8,791-57,997-61,537-146,467-405,979-1,025,269-8,641,553-60,490,871

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